SOME CONJECTURES ON THE MASS FORMULA OF CHARGED LEPTONS

  • In this note we propose that the electromagnetic self energy of lepton may beconnected with quantum number n by( (δm)/m)=(1/(2π))n-b ,in which b is a constant.Wefnrther propose that the cut-off value of momentum M is connected with gravitationalconstant κ and fine structure constant α by M=(1/√καe-1-b.So we obtainthe mass formula of charged leptons M=(1/√κα exp{-3/4-b-(1/3α)n-b}.By using the masses of e- and μ- and the value of a as in put,we get the calculatedvalues of κ=(6.67231±0.00026)×10-8cm3g-1sec-2and mr=(1782.306±0.078)MeVwhich agree very well with experimental values κ=(6.6720±0.0041)×10-8cm3g-1sec-2 and mτ=(1782-4+3)MeV respectively.The mass of the fourth charged leptonpredicted by the formula should be m=(11725.47±0.51)MeV,which can be checkedby experiments in the near future.We also discuss briefly the proposed formula andthe obtained results.
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  • [1] 伍经元、吴丹迪、李小源,高能物理与核物理,3 (1979), 108.[3] J. D. Bjorken, SLAC-PUB-2195 (1978), (T/E).[3] 东方晓等,高能物理与核物理,3 (1979), 127.[4] 罗辽复,自然杂志,2 (1979),132.,
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GAO CHUNG-SHOU. SOME CONJECTURES ON THE MASS FORMULA OF CHARGED LEPTONS[J]. Chinese Physics C, 1979, 3(4): 518-522.
GAO CHUNG-SHOU. SOME CONJECTURES ON THE MASS FORMULA OF CHARGED LEPTONS[J]. Chinese Physics C, 1979, 3(4): 518-522. shu
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Received: 1979-04-19
Revised: 1900-01-01
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SOME CONJECTURES ON THE MASS FORMULA OF CHARGED LEPTONS

  • Peking University

Abstract: In this note we propose that the electromagnetic self energy of lepton may beconnected with quantum number n by( (δm)/m)=(1/(2π))n-b ,in which b is a constant.Wefnrther propose that the cut-off value of momentum M is connected with gravitationalconstant κ and fine structure constant α by M=(1/√καe-1-b.So we obtainthe mass formula of charged leptons M=(1/√κα exp{-3/4-b-(1/3α)n-b}.By using the masses of e- and μ- and the value of a as in put,we get the calculatedvalues of κ=(6.67231±0.00026)×10-8cm3g-1sec-2and mr=(1782.306±0.078)MeVwhich agree very well with experimental values κ=(6.6720±0.0041)×10-8cm3g-1sec-2 and mτ=(1782-4+3)MeV respectively.The mass of the fourth charged leptonpredicted by the formula should be m=(11725.47±0.51)MeV,which can be checkedby experiments in the near future.We also discuss briefly the proposed formula andthe obtained results.

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